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Write the Function F(x) as a Composition of F, G f(x)=x2+6g(x)=7xh(x)=x+3F(x)=7x+3\begin{array} { l } f ( x ) = x ^ { 2 } + 6 \quad g ( x ) = 7 x \quad h ( x ) = \sqrt { x + 3 } \\F ( x ) = \sqrt { 7 x + 3 }\end{array}

Question 195

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- f(x) =x2+6g(x) =7xh(x) =x+3F(x) =7x+3\begin{array} { l } f ( x ) = x ^ { 2 } + 6 \quad g ( x ) = 7 x \quad h ( x ) = \sqrt { x + 3 } \\F ( x ) = \sqrt { 7 x + 3 }\end{array}


A) F(x) =(hg) (x) \mathrm { F } ( \mathrm { x } ) = ( \mathrm { h } \circ \mathrm { g } ) ( \mathrm { x } )
B) F(x) =(hf(x) \mathrm { F } ( \mathrm { x } ) = ( \mathrm { h } \circ \mathrm { f } ( \mathrm { x } )
C) F(x) =(gh) (x) \mathrm { F } ( \mathrm { x } ) = ( \mathrm { g } \circ \mathrm { h } ) ( \mathrm { x } )
D) F(x) =(fh) (x) \mathrm { F } ( \mathrm { x } ) = ( \mathrm { f } \circ \mathrm { h } ) ( \mathrm { x } )

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